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Simplifying 7xy + -4x2 + 2xy2 + 6xy = 0 Reorder the terms: 7xy + 6xy + 2xy2 + -4x2 = 0 Combine like terms: 7xy + 6xy = 13xy 13xy + 2xy2 + -4x2 = 0 Solving 13xy + 2xy2 + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(13y + 2y2 + -4x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(13y + 2y2 + -4x)' equal to zero and attempt to solve: Simplifying 13y + 2y2 + -4x = 0 Reorder the terms: -4x + 13y + 2y2 = 0 Solving -4x + 13y + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -4x + 13y + -13y + 2y2 = 0 + -13y Combine like terms: 13y + -13y = 0 -4x + 0 + 2y2 = 0 + -13y -4x + 2y2 = 0 + -13y Remove the zero: -4x + 2y2 = -13y Add '-2y2' to each side of the equation. -4x + 2y2 + -2y2 = -13y + -2y2 Combine like terms: 2y2 + -2y2 = 0 -4x + 0 = -13y + -2y2 -4x = -13y + -2y2 Divide each side by '-4'. x = 3.25y + 0.5y2 Simplifying x = 3.25y + 0.5y2Solution
x = {0, 3.25y + 0.5y2}
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